Math Problem Statement
Solution
To find the y-value of the midpoint of segment , we'll use the midpoint formula. Given two points and , the midpoint is calculated as:
For this problem:
- Point is
- Point is
Step 1: Substitute the coordinates into the midpoint formula:
Step 2: Calculate the x and y values separately.
-
The x-coordinate of is:
-
The y-coordinate of is:
So, the midpoint is .
Answer: The y-value of the midpoint of is 1.
Would you like further details or have any questions?
Here are five related questions to explore:
- How would you find the distance between points and ?
- What is the x-value of the midpoint between points and ?
- How would the midpoint change if the coordinates of point were different?
- How can we verify that this midpoint is correct?
- What is the significance of the midpoint in geometry?
Tip: Always double-check the signs of your coordinates, as they can significantly affect your calculations, especially for midpoints and distances.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Midpoint Calculation
Formulas
Midpoint formula M = ((x1 + x2)/2, (y1 + y2)/2)
Theorems
Midpoint theorem
Suitable Grade Level
Grades 7-9
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